A pythagoras-style diophantine equation and its Solution

Community Mathematics Centre, CoMaC (2018) A pythagoras-style diophantine equation and its Solution. At Right Angles, 7 (3). pp. 101-012. ISSN 2582-1873

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Abstract

In this note, we study another equation which visually resembles the Pythagorean equation and which too is required to be solved over the positive integers: where m, n, k are positive integers and a, b, c are ‘square-free’ positive integers, i.e., they are not divisible by any square number greater than 1. (So a, b, c are products of distinct prime numbers.) Any positive integer can be uniquely written in this form, i.e., as a product of a perfect square and a square-free positive integer.

Item Type:	Articles in APF Magazines
Authors:	Community Mathematics Centre, CoMaC
Document Language:	Language English
Uncontrolled Keywords:	Pythagorean, Equation, Diophantine, Rationa
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1771
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